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Beliebt Rechnen >

y^{''}-2y^'=sin(x)+e^x

Lösung

y^{^{''}} - 2 y^{^{'}} = sin (x) + e^{x}

Lösung

y = c_{1} e^{2 x} + c_{2} - \frac{1}{5} sin (x) + \frac{2}{5} cos (x) - e^{x}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) = sin (x) + e^{x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} - \frac{1}{5} sin (x) + \frac{2}{5} cos (x) - e^{x}

y = c_{1} e^{2 x} + c_{2} - \frac{1}{5} sin (x) + \frac{2}{5} cos (x) - e^{x}

Graph

Beliebte Beispiele

y^{''}-25y=cosh(5x)

y^{^{''}} - 25 y = cosh (5 x)

y^{''}-3y^'-4y=e^{-x}

y^{^{''}} - 3 y^{^{'}} - 4 y = e^{- x}

3y^{''}+27y=2cos(3t)

3 y^{^{''}} + 27 y = 2 cos (3 t)

y^{''}+16y=32t^2-48t+100,y(0)=0,y^'(0)=1

y^{^{''}} + 16 y = 32 t^{2} - 48 t + 100, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+y^'=cos(x),y(0)=0,y^'(0)=2

y^{^{''}} + y^{^{'}} = cos (x), y (0) = 0, y^{^{'}} (0) = 2